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Finding the Fourth Proportional to 1,522.75, 2,284.14 and 368.50

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Solution

The fourth proportional to 1,522.75, 2,284.14 and 368.50 is: 552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.75 : 2,284.14 = 368.50 : x
  2. Step 2: Convert to fraction form
    1,522.75/2,284.14 = 368.50/x
  3. Step 3: Cross multiply
    1,522.75x = 2,284.14 × 368.50
  4. Step 4: Simplify right side
    1,522.75x = 841,705.59
  5. Step 5: Solve for x
    x = 841,705.59/1,522.75
  6. Step 6: Final answer
    x = 552.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.